基于吠陀数学的除法运算

Suyash Toro, A. Patil, Y. Chavan, S. Patil, D. Bormane, Sushma Wadar
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引用次数: 4

摘要

本文提出的工作针对的是除法操作,即除法。诸如加、减、乘之类的基本运算是使用吠陀数学实现的,用于各种专用应用程序,如RSA加密和解密算法。除法运算是图像处理、网络、信号处理、计算机图形学、数值应用、科学应用和处理器实现等领域的重要运算。从体系结构的角度来看,对于相同的数据字长,除法电路所需的硬件通常比乘法器电路大得多,除法操作一般分为慢除法和快除法。慢除法是恢复法和非恢复法,快除法是牛顿·拉夫森法和戈德施密特法。吠陀分割法是数学建模和可行性测试,并与早期的实现,如恢复和非恢复方法进行比较。基于吠陀数学的除法运算的工作仅限于一部吠陀经。在本文中,四经是考虑实施。
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Division operation based on Vedic mathematics
The work presented in this paper targets on the Division operation i.e. division. Basic operations like addition, subtraction and multiplication are implemented using Vedic mathematics for various dedicated applications such as RSA encryption and decryption algorithm. The proposed work focuses on division operation which is an important operation in areas such as image processing, networking, signal processing, computer graphics, numerical application, scientific applications and in processor implementation. From the architectural point of view, hardware required by division circuits are usually much larger than the multiplier circuits for same data word length and division operation is generally categories as slow division and fast division. Where slow division is restoring and non-restoring methods and fast division is Newton Raphson and Goldschmidt methods. The Vedic division method is mathematically modeled and tested for feasibility and is compared with earlier implementation like restoring and non-restoring methods. The work carried out on division operation based on Vedic mathematics is limited to one of the Vedic sutra. In this paper the four Sutras are considered for implementation.
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